659496634560 has 1344 divisors, whose sum is σ = 2636105472000. Its totient is φ = 156083355648.

The previous prime is 659496634513. The next prime is 659496634561. The reversal of 659496634560 is 65436694956.

It is a happy number.

659496634560 is a `hidden beast` number, since 6 + 5 + 9 + 4 + 9 + 6 + 63 + 4 + 560 = 666.

It is not an unprimeable number, because it can be changed into a prime (659496634561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3314053341 + ... + 3314053539.

It is an arithmetic number, because the mean of its divisors is an integer number (1961388000).

Almost surely, 2^659496634560 is an apocalyptic number.

659496634560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 659496634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318052736000).

659496634560 is an abundant number, since it is smaller than the sum of its proper divisors (1976608837440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

659496634560 is a wasteful number, since it uses less digits than its factorization.

659496634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 659496634560 in words is "six hundred fifty-nine billion, four hundred ninety-six million, six hundred thirty-four thousand, five hundred sixty".